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Vladimir [108]
1 year ago
10

Find the sum of the infinite geometric sequence that begins 1/12, 1/18, 1/27, …

Mathematics
1 answer:
Agata [3.3K]1 year ago
7 0

Answer:

  1/4

Step-by-step explanation:

The sum of an infinite geometric series is given by the formula ...

  S = a/(1 -r)

where 'a' is the first term, and r is the common ratio.

<h3>Application</h3>

Here, the first term is 1/12, and the common ratio is ...

  (1/18)/(1/12) = 12/18 = 2/3

Then the sum is ...

  S = (1/12)/(1 -2/3) = (1/12)/(1/3) = 3/12 = 1/4

The sum of the infinite series is 1/4.

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Solve the following equation for y: 35x - 7y = 49, what is the slope?
agasfer [191]

Answer:

y = 5x - 7

slope = 5

Step-by-step explanation:

35x - 7y = 49

Subtract 35x from both sides.

-7y = -35x + 49

Divide both sides by -7.

y = 5x - 7

The equation is now in the slope-intercept form, y = mx + b, where m is the slope.

slope = m = 5

4 0
3 years ago
Convert into percentages 7/25
LekaFEV [45]

Answer:

28%

Step-by-step explanation:

<u>Divide the numerator by the denominator in order to convert this fraction into a decimal.</u>

7/25 = 0.28

<u>Multiply the decimal by 100 to convert into a whole number.</u>

.28 * 100 = 28

<u>7/25 converted into a percent is 28%.</u>

8 0
4 years ago
100m world record was completed at an average speed of 37.6 km/h. work out this speed in meters per second?
pickupchik [31]

Step-by-step explanation:

1 km = 1000 m

1 hour = 3600 s

so,

37.6 km = 37,600 m (still per hour or per 3600 s).

in 1 second now that is

37600/3600 = 10.44444444... m/s

4 0
2 years ago
I don’t know the answer
shutvik [7]

Answer:

HJ is 8

JE is 4

Step-by-step explanation:

Nice song in the other tab by the way:)

7 0
3 years ago
Which ordered pair is included in the solution set to the following system? y &gt; x2 + 3 y &lt; x2 – 3x + 2 (–2, 8) (0, 2) (0,
I am Lyosha [343]

The ordered pair that is a solution of the system is (-2, 8).

<h3>Which ordered pair is included in the solution set to the following system?</h3>

Here we have the system of inequalities:

y > x² + 3

y < x² - 3x + 2

To check which points are solutions of the system, we can just evaluate both inequalities in the given points and see if they are true.

For example, for the first point (-2, 8) if we evaluate it in the two inequalities we get:

8 > (-2)² + 3 = 7

8 <  (-2)² - 3*(-2) + 2 = 12

As we can see, both inequalities are true. So we conclude that (-2, 8) is the solution.

(if you use any other of the 3 points you will see that at least one of the inequalities becomes false).

If you want to learn more about inequalities:

brainly.com/question/18881247

#SPJ1

3 0
2 years ago
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